CANKIRI KARATEKIN UNIVERSITY Bologna Information System


  • Course Information
  • Course Title Code Semester Laboratory+Practice (Hour) Pool Type ECTS
    Analytic Geometry I MATH105 FALL 2+2 C 6
    Learning Outcomes
    1-Has a knowledge about vectors and the operations on vectors
    2-Apprehend the point and vector, and examine the status according to each other
    3-Know conic curves and properties of them.
    4-Has a knowlegde about transformations on a plane.
    5-Determine the types of conics.
    6-Classify the second degree algebraic curves on a plane by using transformations.
  • ECTS / WORKLOAD
  • ActivityPercentage

    (100)

    NumberTime (Hours)Total Workload (hours)
    Course Duration (Weeks x Course Hours)14456
    Classroom study (Pre-study, practice)14570
    Assignments0000
    Short-Term Exams (exam + preparation) 102612
    Midterm exams (exam + preparation)4011414
    Project0000
    Laboratory 0000
    Final exam (exam + preparation) 5012020
    Other 0000
    Total Workload (hours)   172
    Total Workload (hours) / 30 (s)     5,73 ---- (6)
    ECTS Credit   6
  • Course Content
  • Week Topics Study Metarials
    1 Vectors on a plane
    2 Algebraic operations of vectors on a plane
    3 Linear dependence and independence of vectors
    4 Line on a plane
    5 Projection of a point on a line, its distance and the distance between two lines on a plane
    6 The angle between two lines, the equations of bisector and the symetry according to a line and a line.
    7 General definitions of conic curves and the examination of circles analytically
    8 Midterm exams
    9 The examination of ellipses analytically
    10 The examination of hyperbolas analytically
    11 The examination of parabolas analytically
    12 Translation on a plane
    13 Rotation on a plane
    14 The classification of the second degree algebraic curve on a plane
    15 Standard form of the second degree algebraic curve on a plane
    Prerequisites -
    Language of Instruction English
    Coordinator Res. Assist. Dr. Gül UĞUR KAYMANLI
    Instructors -
    Assistants -Assoc. Prof. Dr. Ufuk ÖZTÜRK -Assist Prof. Dr. Celalettin KAYA
    Resources Analytic Geometry, H. İbrahim Karakaş, METU Department of Mathematics, Ankara,1994 .
    Supplementary Book [1] Analytic Geometry (Schaum`s Outline Series in Mathematics), J. H. Kindle, McGraw-Hill, 1990. [2] Analitik Geometri (8. Baskı), H.Hilmi Hacısalihoğlu, Hacısalihoğlu Yayıncılık, Anakara, 2013. [3] Çözümlü Analitik Geometri Problemleri (3.Baskı), H.Hilmi Hacısalihoğlu, Ömer Tarakçı, Hacısalihoğlu Yayıncılık, Anakara, 2012. [4] Analitik Geometri (9. Baskı), Rüstem Kaya, Bilim Teknik Yayınevi, 2009. [5] Analitik Geometri (1. Baskı), Mustafa Balcı, Balcı Yayınları, Ankara, 2007. [6] Analitik Geometri (7. Baskı), Arif Sabuncuoğlu, Nobel Akademik Yayıncılık, Ankara, 2012.
    Goals Introduce fundamental concepts of plane geometry and teach the relation between algebraic and geometric properties.
    Content Vectors on a plane; Algebraic operations of vectors on a plane; Linear dependence and independence of vectors; Line on a plane; Projection of a point on a line, its distance and the distance between two lines on a plane; The angle between two lines, the equations of bisector and the symetry according to a line and a line; General definitions of conic curves and the examination of circles analytically; The examination of ellipses analytically; The examination of hyperbolas analytically; The examination of parabolas analytically; Translation on a plane; Rotation on a plane; The classification of the second degree algebraic curve on a plane; Standard form of the second degree algebraic curve on a plane.
  • Program Learning Outcomes
  • Program Learning Outcomes Level of Contribution
    1 To have a grasp of theoretical and applied knowledge in main fields of mathematics 5
    2 To have the ability of abstract thinking 4
    3 To be able to use the gained mathematical knowledge in the process of identifying the problem, analyzing and determining the solution steps 5
    4 To be able to relate the gained mathematical acquisitions with different disciplines and apply in real life 3
    5 To have the qualification of studying independently in a problem or a project requiring mathematical knowledge 2
    6 To be able to work compatibly and effectively in national and international groups and take responsibility -
    7 To be able to consider the knowledge gained from different fields of mathematics with a critical approach and have the ability to improve the knowledge 2
    8 To be able to determine what sort of knowledge the problem met requires and guide the process of learning this knowledge 2
    9 To adopt the necessity of learning constantly by observing the improvement of scientific accumulation over time -
    10 To be able to transfer thoughts on issues related to mathematics, proposals for solutions to the problems to the expert and non-expert shareholders written and verbally 3
    11 To be able to produce projects and arrange activities with awareness of social responsibility -
    12 To be able to follow publications in mathematics and exchange information with colleagues by mastering a foreign language at least European Language Portfolio B1 General Level -
    13 To be able to make use of the necessary computer softwares (at least European Computer Driving Licence Advanced Level), information and communication technologies for mathematical problem solving, transfer of thoughts and results -
    14 To have the awareness of acting compatible with social, scientific, cultural and ethical values -
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